The 93 classes of equitilings of the plane with characteristics \(\geq{}3\) (Q1193423)

A double-periodic tiling \(\mathcal T\) of the euclidean plane is called an equitiling if its symmetry group \(S({\mathcal T})\) admits a fundamental region which is the union of finitely many polygonal tiles with distinct numbers of vertices. It is proved that there are exactly 93 classes of equitilings of the plane in which no tile is a digon.